I think he would mostly not 4-bet there with TT, but rather call.
AK he can 4-bet/call, since he is oop and if you had 3-bet him before he can also 4-bet bluff there. So i think in generally 3-betting for value an then shoving over his 4-bet should be fine. If you don´t see getting all-in there light then fold is likely better. Against QQ+, Ak, you have 36% equity, so you don´t really have to risk your stack to find yourself flipping or being 80-20 underdog. If you think he might be 4-bet bluff then shove is better option.